Best Science Books

Best Reference Books – Nonlinear Systems Analysis

Here is the listing of Best reference books on Nonlinear Systems Analysis.

1. “Chaos and Nonlinear Dynamics” by Hilborn

Book Review: This book is very useful for the students, scientist and engineers in the field of chaos and nonlinear dynamics. The book discusses both differential equation models and iterated map models. The book also explains lyapunov exponents and fractal dimensions in depth. The book also provides step by step explanation to dynamics and state space geometry. The book also discusses quantum chaos. The book also provides a very practical approach to the field of chaos and nonlinear dynamics.

2. “Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers” by Jordan and Smith

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Book Review: This is a very good textbook in nonlinear ordinary differential equations. The book contains numerous diagrams and worked out examples. The various topics covered in the book are phase plane analysis, nonlinear damping, small parameter expansions , single perturbations, stability, liapunov methods, Poincare sequences, liapunov exponents and homoclinic bifurcation. The book also contains many problems at the end of every chapter. This book is very useful for students and lecturers in the field of engineering sciences and mathematics.

3. “Nonlinear Systems” by Khalil

Book Review: The level of mathematics in the book increases chapter by chapter. The book is divided into four parts and they are basic analysis, feedback systems analysis, advanced analysis and nonlinear feedback control. The book also contains updated information on topics in the field of nonlinear control design. The book also contains chapters on passivity based control, integral control, high gain feedback, recursive methods, optimal stabilizing control, lyapunov functions and many more. The book is a good reference book for engineers and mathematicians.